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Research Topics for Spatial temporal processes Time Series:Time Series: nonlinear state space M. West (1996) In Bayesian Statistics 5, Oxford University Press. Simulation methods A.C. Davison and D.V. Hinkley, "Bootstrap Methods and their Applications” Cambridge University Press 1997
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Research Topics for Spatial temporal processes Gaussian process:Gaussian process: nonstationary covariances models (beyond EOFs) spatial-temporal models (beyond separable models) change of support problem (multi-scale) hierarchical modeling
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Research Topics for Spatial temporal processes Non-Gaussian processes:Non-Gaussian processes: conditional distributions (Markov fields) permutation tests Reference: Mantel (1967) Spatial point processes:Spatial point processes: heterogeneous intensity multivariate spatial processes clustering (patterns] Reference: Diggle (1983).
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Visualization Maps of dependency structure Maps of intensity function Uncertainty maps Statistical ensembles
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Education/Crosstraining Smaller Workshops: Case studies Specific examples (have problems ahead of time for workshop instructor] Stat/Math faculty collaborating with geosciences groups
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Computation Hierarchical methods Markov Chain Monte Carlo: simulate distribution (e.g. simulate mixing at different scales] Reference: “Markov Chain Monte Carlo in Practice”, Chapman & Hall, London. Gilks, Richardson, and Spiegelhalter (1996). Fast spherical Transform
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